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arXiv · 1608.01568

Derandomizing Chernoff Bound with Union Bound with an Application to $k$-wise Independent Sets

Nader H. Bshouty
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Abstract

Derandomization of Chernoff bound with union bound is already proven in many papers. We here give another explicit version of it that obtains a construction of size that is arbitrary close to the probabilistic nonconstructive size. We apply this to give a new simple polynomial time constructions of almost $k$-wise independent sets. We also give almost tight lower bounds for the size of $k$-wise independent sets.

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Nader H. Bshouty. 2016-08-04. Derandomizing Chernoff Bound with Union Bound with an Application to $k$-wise Independent Sets. https://arxiv.org/abs/1608.01568

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